I forgot to file a 8843 form

For the past 5 years, I have used Sprintax to file tax returns as an international student. However, because the 5 years period has passed, I now turned from nonresident alien to US resident. So Sprintax advised me to use Turbo Tax.

I filed the tax returns today and the federal return got accepted and the state return is pending. However, I forgot that I have to file an 8843 together with the tax returns and I accidentally e-filed my 2019 tax returns.

Now what should I do? Should I wait for the IRS to accept and refunded my state tax (I got $19 state refund and 0 for federal) and process to amend both my returns? Or can I file the 8843 and send them by mail to the IRS now?